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2374351872 = 21031922141
BaseRepresentation
bin1000110110000101…
…1011110000000000
320010110202120110020
42031201123300000
514330313224442
61031334333440
7112560441444
oct21541336000
96113676406
102374351872
111009294782
125631ba280
132baba8749
141874a4824
15dd6ab9ec
hex8d85bc00

2374351872 has 132 divisors (see below), whose sum is σ = 6682243176. Its totient is φ = 749445120.

The previous prime is 2374351871. The next prime is 2374351897. The reversal of 2374351872 is 2781534732.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2374351871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1107922 + ... + 1110062.

Almost surely, 22374351872 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 2374351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341121588).

2374351872 is an abundant number, since it is smaller than the sum of its proper divisors (4307891304).

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

2374351872 is a wasteful number, since it uses less digits than its factorization.

2374351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2165 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 2374351872 is about 48727.3216173432. The cubic root of 2374351872 is about 1334.0794472965.

The spelling of 2374351872 in words is "two billion, three hundred seventy-four million, three hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 608 722 768 912 1024 1083 1216 1444 1536 1824 2141 2166 2432 2888 3072 3648 4282 4332 4864 5776 6423 7296 8564 8664 9728 11552 12846 14592 17128 17328 19456 23104 25692 29184 34256 34656 40679 46208 51384 58368 68512 69312 81358 92416 102768 122037 137024 138624 162716 184832 205536 244074 274048 277248 325432 369664 411072 488148 548096 554496 650864 772901 822144 976296 1096192 1108992 1301728 1545802 1644288 1952592 2192384 2318703 2603456 3091604 3288576 3905184 4637406 5206912 6183208 6577152 7810368 9274812 10413824 12366416 15620736 18549624 20827648 24732832 31241472 37099248 41655296 49465664 62482944 74198496 98931328 124965888 148396992 197862656 296793984 395725312 593587968 791450624 1187175936 2374351872