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3412658368 = 26752114621
BaseRepresentation
bin1100101101101001…
…0000100011000000
322210211112000012101
43023122100203000
523442120031433
61322345040144
7150366055210
oct31332204300
98724460171
103412658368
1114a13a1819
127b2a86054
134250386a2
14245344240
1514e90807d
hexcb6908c0

3412658368 has 56 divisors (see below), whose sum is σ = 7754806944. Its totient is φ = 1459660800.

The previous prime is 3412658351. The next prime is 3412658371. The reversal of 3412658368 is 8638562143.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226098 + ... + 240718.

Almost surely, 23412658368 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 3412658368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877403472).

3412658368 is an abundant number, since it is smaller than the sum of its proper divisors (4342148576).

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

3412658368 is a wasteful number, since it uses less digits than its factorization.

3412658368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15161 (or 15151 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 3412658368 is about 58417.9627169589. The cubic root of 3412658368 is about 1505.5583948709.

The spelling of 3412658368 in words is "three billion, four hundred twelve million, six hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 521 1042 2084 3647 4168 7294 8336 14588 14621 16672 29176 29242 33344 58352 58484 102347 116704 116968 204694 233408 233936 409388 467872 818776 935744 1637552 3275104 6550208 7617541 15235082 30470164 53322787 60940328 106645574 121880656 213291148 243761312 426582296 487522624 853164592 1706329184 3412658368