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3214964312 = 2371947531213
BaseRepresentation
bin1011111110100000…
…0111011001011000
322022001112002221022
42333220013121120
523041012324222
61251003502012
7142445513540
oct27750073130
98261462838
103214964312
1113aa8442aa
12758827908
133c30aab61
14226da2320
1513c3a7042
hexbfa07658

3214964312 has 128 divisors (see below), whose sum is σ = 7552051200. Its totient is φ = 1252412928.

The previous prime is 3214964287. The next prime is 3214964317. The reversal of 3214964312 is 2134694123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214964317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649818 + ... + 2651030.

It is an arithmetic number, because the mean of its divisors is an integer number (59000400).

Almost surely, 23214964312 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 3214964312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776025600).

3214964312 is an abundant number, since it is smaller than the sum of its proper divisors (4337086888).

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

3214964312 is a wasteful number, since it uses less digits than its factorization.

3214964312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 3214964312 is about 56700.6553048552. The cubic root of 3214964312 is about 1475.9060696732.

The spelling of 3214964312 in words is "three billion, two hundred fourteen million, nine hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 47 53 56 76 94 106 133 152 188 212 266 329 371 376 424 532 658 742 893 1007 1064 1213 1316 1484 1786 2014 2426 2491 2632 2968 3572 4028 4852 4982 6251 7049 7144 8056 8491 9704 9964 12502 14098 16982 17437 19928 23047 25004 28196 33964 34874 46094 47329 50008 56392 57011 64289 67928 69748 92188 94658 114022 128578 139496 161329 184376 189316 228044 257156 322658 331303 378632 399077 450023 456088 514312 645316 662606 798154 900046 1083209 1221491 1290632 1325212 1596308 1800092 2166418 2442982 2650424 3021583 3192616 3600184 4332836 4885964 6043166 7582463 8550437 8665672 9771928 12086332 15164926 17100874 21151081 24172664 30329852 34201748 42302162 57410077 60659704 68403496 84604324 114820154 169208648 229640308 401870539 459280616 803741078 1607482156 3214964312