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760676352 = 21635373
BaseRepresentation
bin101101010101110…
…000000000000000
31222000100100210020
4231111300000000
53024213120402
6203251533440
724564433212
oct5525600000
91860310706
10760676352
11360422447
121928ba280
13c1795167
14730505b2
1546baa8bc
hex2d570000

760676352 has 136 divisors (see below), whose sum is σ = 2095038864. Its totient is φ = 245366784.

The previous prime is 760676291. The next prime is 760676353. The reversal of 760676352 is 253676067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760676353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10420188 + ... + 10420260.

Almost surely, 2760676352 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 760676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047519432).

760676352 is an abundant number, since it is smaller than the sum of its proper divisors (1334362512).

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

760676352 is an frugal number, since it uses more digits than its factorization.

760676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 760676352 is about 27580.3617090132. The cubic root of 760676352 is about 912.8511598221.

The spelling of 760676352 in words is "seven hundred sixty million, six hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 73 96 106 128 146 159 192 212 219 256 292 318 384 424 438 512 584 636 768 848 876 1024 1168 1272 1536 1696 1752 2048 2336 2544 3072 3392 3504 3869 4096 4672 5088 6144 6784 7008 7738 8192 9344 10176 11607 12288 13568 14016 15476 16384 18688 20352 23214 24576 27136 28032 30952 32768 37376 40704 46428 49152 54272 56064 61904 65536 74752 81408 92856 98304 108544 112128 123808 149504 162816 185712 196608 217088 224256 247616 299008 325632 371424 434176 448512 495232 598016 651264 742848 868352 897024 990464 1196032 1302528 1485696 1736704 1794048 1980928 2392064 2605056 2971392 3473408 3588096 3961856 4784128 5210112 5942784 7176192 7923712 10420224 11885568 14352384 15847424 23771136 31694848 47542272 63389696 95084544 126779392 190169088 253558784 380338176 760676352