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3740404008 = 23311472511201
BaseRepresentation
bin1101111011110010…
…0000100100101000
3100122200020012200210
43132330200210220
530130020412013
61415053501120
7161455623645
oct33674404450
910580205623
103740404008
11164a3a6990
128847a17a0
13477bcc313
14276a9adcc
1516d597cc3
hexdef20928

3740404008 has 128 divisors (see below), whose sum is σ = 10468362240. Its totient is φ = 1104000000.

The previous prime is 3740403941. The next prime is 3740404009. The reversal of 3740404008 is 8004040473.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3740404009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3113808 + ... + 3115008.

It is an arithmetic number, because the mean of its divisors is an integer number (81784080).

Almost surely, 23740404008 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 3740404008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234181120).

3740404008 is an abundant number, since it is smaller than the sum of its proper divisors (6727958232).

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

3740404008 is a wasteful number, since it uses less digits than its factorization.

3740404008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 3740404008 is about 61158.8424350886. The cubic root of 3740404008 is about 1552.2899219686.

The spelling of 3740404008 in words is "three billion, seven hundred forty million, four hundred four thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 251 264 282 376 502 517 564 753 1004 1034 1128 1201 1506 1551 2008 2068 2402 2761 3012 3102 3603 4136 4804 5522 6024 6204 7206 8283 9608 11044 11797 12408 13211 14412 16566 22088 23594 26422 28824 33132 35391 39633 47188 52844 56447 66264 70782 79266 94376 105688 112894 129767 141564 158532 169341 225788 259534 283128 301451 317064 338682 389301 451576 519068 602902 620917 677364 778602 904353 1038136 1205804 1241834 1354728 1557204 1808706 1862751 2411608 2483668 3114408 3315961 3617412 3725502 4967336 6631922 7234824 7451004 9947883 13263844 14168197 14902008 19895766 26527688 28336394 39791532 42504591 56672788 79583064 85009182 113345576 155850167 170018364 311700334 340036728 467550501 623400668 935101002 1246801336 1870202004 3740404008