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332340053364 = 22321119387711393
BaseRepresentation
bin1001101011000010000…
…00101100010101110100
31011202211100102221212100
410311201000230111310
520421113023201424
6412401440422100
733003460562244
oct4654100542564
91152740387770
10332340053364
11118a43329030
12544b0017930
1325454c50a67
141212a283b24
1589a196bdc9
hex4d6102c574

332340053364 has 144 divisors (see below), whose sum is σ = 965020754880. Its totient is φ = 95375646720.

The previous prime is 332340053327. The next prime is 332340053371. The reversal of 332340053364 is 463350043233.

332340053364 is a `hidden beast` number, since 3 + 3 + 23 + 40 + 0 + 533 + 64 = 666.

It is a super-2 number, since 2×3323400533642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29164852 + ... + 29176244.

It is an arithmetic number, because the mean of its divisors is an integer number (6701533020).

Almost surely, 2332340053364 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 332340053364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482510377440).

332340053364 is an abundant number, since it is smaller than the sum of its proper divisors (632680701516).

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

332340053364 is a wasteful number, since it uses less digits than its factorization.

332340053364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15310 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 332340053364 its reverse (463350043233), we get a palindrome (795690096597).

The spelling of 332340053364 in words is "three hundred thirty-two billion, three hundred forty million, fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 3877 7524 7754 11393 11631 15508 22786 23262 34179 34893 42647 45572 46524 68358 69786 73663 85294 102537 125323 127941 136716 139572 147326 170588 205074 216467 220989 250646 255882 294652 375969 383823 410148 432934 441978 501292 511764 649401 662967 751938 767646 810293 865868 883956 1127907 1298802 1325934 1503876 1535292 1620586 1948203 2255814 2381137 2430879 2597604 2651868 3241172 3896406 4511628 4762274 4861758 7143411 7292637 7792812 9524548 9723516 14286822 14585274 21430233 28573644 29170548 42860466 44170661 85720932 88341322 132511983 176682644 265023966 397535949 485877271 530047932 795071898 839242559 971754542 1457631813 1590143796 1678485118 1943509084 2517727677 2915263626 3356970236 4372895439 5035455354 5830527252 7553183031 8745790878 9231668149 10070910708 15106366062 17491581756 18463336298 27695004447 30212732124 36926672596 55390008894 83085013341 110780017788 166170026682 332340053364