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3374053632 = 28322363671
BaseRepresentation
bin1100100100011011…
…1111100100000000
322201010212200110100
43021012333210000
523402224204012
61314445402400
7146416661025
oct31106774400
98633780410
103374053632
111481624484
127a1b69400
1341a03cc51
1424017554c
1514b32e8dc
hexc91bf900

3374053632 has 108 divisors (see below), whose sum is σ = 10151354304. Its totient is φ = 1075768320.

The previous prime is 3374053619. The next prime is 3374053637. The reversal of 3374053632 is 2363504733.

It is a super-2 number, since 2×33740536322 = 22768475823224782848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3374053637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21157 + ... + 84827.

Almost surely, 23374053632 is an apocalyptic number.

3374053632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3374053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075677152).

3374053632 is an abundant number, since it is smaller than the sum of its proper divisors (6777300672).

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

3374053632 is a wasteful number, since it uses less digits than its factorization.

3374053632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63716 (or 63699 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The square root of 3374053632 is about 58086.6045831567. The cubic root of 3374053632 is about 1499.8597842268.

The spelling of 3374053632 in words is "three billion, three hundred seventy-four million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 13248 17664 26496 52992 63671 127342 191013 254684 382026 509368 573039 764052 1018736 1146078 1464433 1528104 2037472 2292156 2928866 3056208 4074944 4393299 4584312 5857732 6112416 8149888 8786598 9168624 11715464 12224832 13179897 16299776 17573196 18337248 23430928 24449664 26359794 35146392 36674496 46861856 48899328 52719588 70292784 73348992 93723712 105439176 140585568 146697984 187447424 210878352 281171136 374894848 421756704 562342272 843513408 1124684544 1687026816 3374053632