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746323968 = 21831373
BaseRepresentation
bin101100011111000…
…000000000000000
31221000100012000110
4230133000000000
53012024331333
6202020151320
724331435425
oct5437000000
91830305013
10746323968
1135330a275
12189b38540
13bb80b520
1471195d4c
15457c3063
hex2c7c0000

746323968 has 152 divisors (see below), whose sum is σ = 2172645328. Its totient is φ = 226492416.

The previous prime is 746323927. The next prime is 746323979. The reversal of 746323968 is 869323647.

It is a super-2 number, since 2×7463239682 = 1113998930422530048, 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10223580 + ... + 10223652.

Almost surely, 2746323968 is an apocalyptic number.

746323968 is a gapful number since it is divisible by the number (78) 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 746323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086322664).

746323968 is an abundant number, since it is smaller than the sum of its proper divisors (1426321360).

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

746323968 is an frugal number, since it uses more digits than its factorization.

746323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 746323968 is about 27318.9305793620. The cubic root of 746323968 is about 907.0734660484.

The spelling of 746323968 in words is "seven hundred forty-six million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 128 146 156 192 208 219 256 292 312 384 416 438 512 584 624 768 832 876 949 1024 1168 1248 1536 1664 1752 1898 2048 2336 2496 2847 3072 3328 3504 3796 4096 4672 4992 5694 6144 6656 7008 7592 8192 9344 9984 11388 12288 13312 14016 15184 16384 18688 19968 22776 24576 26624 28032 30368 32768 37376 39936 45552 49152 53248 56064 60736 65536 74752 79872 91104 98304 106496 112128 121472 131072 149504 159744 182208 196608 212992 224256 242944 262144 299008 319488 364416 393216 425984 448512 485888 598016 638976 728832 786432 851968 897024 971776 1196032 1277952 1457664 1703936 1794048 1943552 2392064 2555904 2915328 3407872 3588096 3887104 4784128 5111808 5830656 7176192 7774208 9568256 10223616 11661312 14352384 15548416 19136512 23322624 28704768 31096832 46645248 57409536 62193664 93290496 124387328 186580992 248774656 373161984 746323968