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3212102034 = 2331091274297
BaseRepresentation
bin1011111101110100…
…1100100110010010
322021212010200122000
42333131030212102
523034244231114
61250422254430
7142412262651
oct27735144622
98255120560
103212102034
1113a9169889
12757887416
133c26180bb
14226859198
1513bedde09
hexbf74c992

3212102034 has 64 divisors (see below), whose sum is σ = 7261900800. Its totient is φ = 1052279424.

The previous prime is 3212102029. The next prime is 3212102051. The reversal of 3212102034 is 4302012123.

It is a super-3 number, since 3×32121020343 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3212101998 and 3212102016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745374 + ... + 749670.

It is an arithmetic number, because the mean of its divisors is an integer number (113467200).

Almost surely, 23212102034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212102034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630950400).

3212102034 is an abundant number, since it is smaller than the sum of its proper divisors (4049798766).

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

3212102034 is a wasteful number, since it uses less digits than its factorization.

3212102034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3212102034 is about 56675.4094294871. The cubic root of 3212102034 is about 1475.4679406243.

Adding to 3212102034 its reverse (4302012123), we get a palindrome (7514114157).

The spelling of 3212102034 in words is "three billion, two hundred twelve million, one hundred two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 109 127 218 254 327 381 654 762 981 1143 1962 2286 2943 3429 4297 5886 6858 8594 12891 13843 25782 27686 38673 41529 77346 83058 116019 124587 232038 249174 373761 468373 545719 747522 936746 1091438 1405119 1637157 2810238 3274314 4215357 4911471 8430714 9822942 12646071 14734413 25292142 29468826 59483371 118966742 178450113 356900226 535350339 1070700678 1606051017 3212102034