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738211968 = 2734135477
BaseRepresentation
bin101100000000000…
…011100010000000
31220110002001110000
4230000003202000
53002440240333
6201130240000
724202461324
oct5400034200
91813061400
10738211968
1134977963a
12187286000
13b9c2b120
1470083984
1544c1e713
hex2c003880

738211968 has 160 divisors (see below), whose sum is σ = 2366331660. Its totient is φ = 227100672.

The previous prime is 738211951. The next prime is 738211973. The reversal of 738211968 is 869112837.

It can be written as a sum of positive squares in 2 ways, for example, as 713530944 + 24681024 = 26712^2 + 4968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132046 + ... + 137522.

Almost surely, 2738211968 is an apocalyptic number.

738211968 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 738211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183165830).

738211968 is an abundant number, since it is smaller than the sum of its proper divisors (1628119692).

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

738211968 is a wasteful number, since it uses less digits than its factorization.

738211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5495 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 738211968 is about 27170.0564592715. The cubic root of 738211968 is about 903.7750765239.

The spelling of 738211968 in words is "seven hundred thirty-eight million, two hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5477 5616 7488 8424 10368 10954 11232 14976 16431 16848 21908 22464 32862 33696 43816 44928 49293 65724 67392 71201 87632 98586 131448 134784 142402 147879 175264 197172 213603 262896 284804 295758 350528 394344 427206 443637 525792 569608 591516 640809 701056 788688 854412 887274 1051584 1139216 1183032 1281618 1577376 1708824 1774548 1922427 2103168 2278432 2366064 2563236 3154752 3417648 3549096 3844854 4556864 4732128 5126472 5767281 6309504 6835296 7098192 7689708 9113728 9464256 10252944 11534562 13670592 14196384 15379416 18928512 20505888 23069124 27341184 28392768 30758832 41011776 46138248 56785536 61517664 82023552 92276496 123035328 184552992 246070656 369105984 738211968