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3378752832 = 263713193381
BaseRepresentation
bin1100100101100011…
…1010110101000000
322201110201102112210
43021120322311000
523404430042312
61315134222120
7146504632230
oct31130726500
98643642483
103378752832
111484244014
127a3654940
1341acc6b40
14240a39cc0
1514b95be3c
hexc963ad40

3378752832 has 112 divisors (see below), whose sum is σ = 11002662272. Its totient is φ = 891095040.

The previous prime is 3378752807. The next prime is 3378752833. The reversal of 3378752832 is 2382578733.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33787528322 = 22831941399496040448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378752833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79219 + ... + 114162.

It is an arithmetic number, because the mean of its divisors is an integer number (98238056).

Almost surely, 23378752832 is an apocalyptic number.

3378752832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3378752832 is an abundant number, since it is smaller than the sum of its proper divisors (7623909440).

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

3378752832 is a wasteful number, since it uses less digits than its factorization.

3378752832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193416 (or 193406 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 3378752832 is about 58127.0404545079. The cubic root of 3378752832 is about 1500.5557691661. Note that the first 3 decimals are identical.

The spelling of 3378752832 in words is "three billion, three hundred seventy-eight million, seven hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 193381 386762 580143 773524 1160286 1353667 1547048 2320572 2513953 2707334 3094096 4061001 4641144 5027906 5414668 6188192 7541859 8122002 9282288 10055812 10829336 12376384 15083718 16244004 17597671 18564576 20111624 21658672 30167436 32488008 35195342 37129152 40223248 43317344 52793013 60334872 64976016 70390684 80446496 86634688 105586026 120669744 129952032 140781368 160892992 211172052 241339488 259904064 281562736 422344104 482678976 563125472 844688208 1126250944 1689376416 3378752832