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3435314036 = 2271147307773
BaseRepresentation
bin1100110011000010…
…1011101101110100
322212102011000221012
43030300223231310
524013420022121
61324514411352
7151062454550
oct31460535564
98772130835
103435314036
111503166310
127ba590b58
1342993b7cb
14248360860
151518d0c5b
hexccc2bb74

3435314036 has 96 divisors (see below), whose sum is σ = 7689572352. Its totient is φ = 1304000640.

The previous prime is 3435314033. The next prime is 3435314039. The reversal of 3435314036 is 6304135343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3435314033) and next prime (3435314039).

It is a junction number, because it is equal to n+sod(n) for n = 3435313993 and 3435314011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435314033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4443746 + ... + 4444518.

It is an arithmetic number, because the mean of its divisors is an integer number (80099712).

Almost surely, 23435314036 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 3435314036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844786176).

3435314036 is an abundant number, since it is smaller than the sum of its proper divisors (4254258316).

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

3435314036 is a wasteful number, since it uses less digits than its factorization.

3435314036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The square root of 3435314036 is about 58611.5520695366. The cubic root of 3435314036 is about 1508.8827072498.

Adding to 3435314036 its reverse (6304135343), we get a palindrome (9739449379).

The spelling of 3435314036 in words is "three billion, four hundred thirty-five million, three hundred fourteen thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 307 308 329 517 614 658 773 1034 1228 1316 1546 2068 2149 3092 3377 3619 4298 5411 6754 7238 8503 8596 10822 13508 14429 14476 17006 21644 23639 28858 34012 36331 47278 57716 59521 72662 94556 101003 119042 145324 158719 202006 237311 238084 254317 317438 399641 404012 474622 508634 634876 799282 949244 1017268 1111033 1598564 1661177 2222066 2610421 2797487 3322354 4444132 5220842 5594974 6644708 10441684 11153617 11189948 18272947 22307234 36545894 44614468 73091788 78075319 122689787 156150638 245379574 312301276 490759148 858828509 1717657018 3435314036