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3212040040 = 2351141263677
BaseRepresentation
bin1011111101110011…
…1101011101101000
322021212000112120221
42333130331131220
523034240240130
61250421055424
7142411614136
oct27734753550
98255015527
103212040040
1113a9127250
12757857574
133c25c5b11
14226840756
1513beca87a
hexbf73d768

3212040040 has 128 divisors (see below), whose sum is σ = 8119077120. Its totient is φ = 1133516800.

The previous prime is 3212040031. The next prime is 3212040049. The reversal of 3212040040 is 400402123.

It is an interprime number because it is at equal distance from previous prime (3212040031) and next prime (3212040049).

It is a junction number, because it is equal to n+sod(n) for n = 3212039996 and 3212040023.

It is not an unprimeable number, because it can be changed into a prime (3212040049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4744182 + ... + 4744858.

It is an arithmetic number, because the mean of its divisors is an integer number (63430290).

Almost surely, 23212040040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059538560).

3212040040 is an abundant number, since it is smaller than the sum of its proper divisors (4907037080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3212040040 is a wasteful number, since it uses less digits than its factorization.

3212040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3212040040 is about 56674.8625053471. The cubic root of 3212040040 is about 1475.4584483202.

Adding to 3212040040 its reverse (400402123), we get a palindrome (3612442163).

The spelling of 3212040040 in words is "three billion, two hundred twelve million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 263 328 410 440 451 526 677 820 902 1052 1315 1354 1640 1804 2104 2255 2630 2708 2893 3385 3608 4510 5260 5416 5786 6770 7447 9020 10520 10783 11572 13540 14465 14894 18040 21566 23144 27080 27757 28930 29788 37235 43132 53915 55514 57860 59576 74470 86264 107830 111028 115720 118613 138785 148940 178051 215660 222056 237226 277570 297880 305327 356102 431320 474452 555140 593065 610654 712204 890255 948904 1110280 1186130 1221308 1424408 1526635 1780510 1958561 2372260 2442616 3053270 3561020 3917122 4744520 6106540 7122040 7300091 7834244 9792805 12213080 14600182 15668488 19585610 29200364 36500455 39171220 58400728 73000910 78342440 80301001 146001820 160602002 292003640 321204004 401505005 642408008 803010010 1606020020 3212040040