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376797696 = 2931129769
BaseRepresentation
bin10110011101010…
…111101000000000
3222021000022021020
4112131113220000
51232430011241
6101220025440
712223504362
oct2635275000
9867008236
10376797696
11183768760
12a6232280
13600a9722
1438084d32
152312db66
hex16757a00

376797696 has 160 divisors (see below), whose sum is σ = 1134302400. Its totient is φ = 110100480.

The previous prime is 376797679. The next prime is 376797703. The reversal of 376797696 is 696797673.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489600 + ... + 490368.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2376797696 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 376797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567151200).

376797696 is an abundant number, since it is smaller than the sum of its proper divisors (757504704).

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

376797696 is a wasteful number, since it uses less digits than its factorization.

376797696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 814 counting only the distinct ones).

The product of its digits is 18003384, while the sum is 60.

The square root of 376797696 is about 19411.2775468283. The cubic root of 376797696 is about 722.2752714783.

The spelling of 376797696 in words is "three hundred seventy-six million, seven hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 256 264 319 348 352 384 464 512 528 638 696 704 768 769 928 957 1056 1276 1392 1408 1536 1538 1856 1914 2112 2307 2552 2784 2816 3076 3712 3828 4224 4614 5104 5568 5632 6152 7424 7656 8448 8459 9228 10208 11136 12304 14848 15312 16896 16918 18456 20416 22272 22301 24608 25377 30624 33836 36912 40832 44544 44602 49216 50754 61248 66903 67672 73824 81664 89204 98432 101508 122496 133806 135344 147648 163328 178408 196864 203016 244992 245311 267612 270688 295296 356816 393728 406032 489984 490622 535224 541376 590592 713632 735933 812064 981244 1070448 1082752 1181184 1427264 1471866 1624128 1962488 2140896 2165504 2854528 2943732 3248256 3924976 4281792 4331008 5709056 5887464 6496512 7849952 8563584 11418112 11774928 12993024 15699904 17127168 23549856 31399808 34254336 47099712 62799616 94199424 125599232 188398848 376797696