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3045234400 = 255213349839
BaseRepresentation
bin1011010110000010…
…1001011011100000
321212020010221021021
42311200221123200
522214040000100
61222101535224
7135315031255
oct26540513340
97766127237
103045234400
111322a5674a
1270ba14514
13396b91760
1420c61d42c
1512c52ba1a
hexb58296e0

3045234400 has 144 divisors (see below), whose sum is σ = 8038548000. Its totient is φ = 1119836160.

The previous prime is 3045234341. The next prime is 3045234433. The reversal of 3045234400 is 44325403.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3629181 + ... + 3630019.

It is an arithmetic number, because the mean of its divisors is an integer number (55823250).

Almost surely, 23045234400 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 3045234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019274000).

3045234400 is an abundant number, since it is smaller than the sum of its proper divisors (4993313600).

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

3045234400 is a wasteful number, since it uses less digits than its factorization.

3045234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3045234400 is about 55183.6425039160. The cubic root of 3045234400 is about 1449.4622500585.

Adding to 3045234400 its reverse (44325403), we get a palindrome (3089559803).

The spelling of 3045234400 in words is "three billion, forty-five million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 349 400 416 520 650 698 800 839 1040 1300 1396 1678 1745 2080 2600 2792 3356 3490 4195 4537 5200 5584 6712 6980 8390 8725 9074 10400 10907 11168 13424 13960 16780 17450 18148 20975 21814 22685 26848 27920 33560 34900 36296 41950 43628 45370 54535 55840 67120 69800 72592 83900 87256 90740 109070 113425 134240 139600 145184 167800 174512 181480 218140 226850 272675 279200 292811 335600 349024 362960 436280 453700 545350 585622 671200 725920 872560 907400 1090700 1171244 1464055 1745120 1814800 2181400 2342488 2928110 3629600 3806543 4362800 4684976 5856220 7320275 7613086 8725600 9369952 11712440 14640550 15226172 19032715 23424880 29281100 30452344 38065430 46849760 58562200 60904688 76130860 95163575 117124400 121809376 152261720 190327150 234248800 304523440 380654300 609046880 761308600 1522617200 3045234400