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3431021000 = 2353111312381
BaseRepresentation
bin1100110010000001…
…0011100111001000
322212010001220222212
43030200103213020
524011320133000
61324242404252
7151011124451
oct31440234710
98763056885
103431021000
1115007a3950
127b9060688
13428a97754
14247964128
15151333c35
hexcc8139c8

3431021000 has 128 divisors (see below), whose sum is σ = 8829025920. Its totient is φ = 1237600000.

The previous prime is 3431020991. The next prime is 3431021017. The reversal of 3431021000 is 1201343.

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 31 ways as a sum of consecutive naturals, for example, 1439810 + ... + 1442190.

It is an arithmetic number, because the mean of its divisors is an integer number (68976765).

Almost surely, 23431021000 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 3431021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414512960).

3431021000 is an abundant number, since it is smaller than the sum of its proper divisors (5398004920).

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

3431021000 is a wasteful number, since it uses less digits than its factorization.

3431021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3431021000 is about 58574.9178403180. The cubic root of 3431021000 is about 1508.2539061242.

Adding to 3431021000 its reverse (1201343), we get a palindrome (3432222343).

The spelling of 3431021000 in words is "three billion, four hundred thirty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 131 200 220 250 262 275 440 500 524 550 655 1000 1048 1100 1310 1375 1441 2200 2381 2620 2750 2882 3275 4762 5240 5500 5764 6550 7205 9524 11000 11528 11905 13100 14410 16375 19048 23810 26191 26200 28820 32750 36025 47620 52382 57640 59525 65500 72050 95240 104764 119050 130955 131000 144100 180125 209528 238100 261910 288200 297625 311911 360250 476200 523820 595250 623822 654775 720500 1047640 1190500 1247644 1309550 1441000 1559555 2381000 2495288 2619100 3119110 3273875 3431021 5238200 6238220 6547750 6862042 7797775 12476440 13095500 13724084 15595550 17155105 26191000 27448168 31191100 34310210 38988875 62382200 68620420 77977750 85775525 137240840 155955500 171551050 311911000 343102100 428877625 686204200 857755250 1715510500 3431021000