Search a number
-
+
374003450912 = 25721337736793
BaseRepresentation
bin1010111000101000101…
…01111100010000100000
31022202100221110211211102
411130110111330100200
522111424340412122
6443451555533532
736010103610500
oct5342425742040
91282327424742
10374003450912
1113468321a293
1260598bba2a8
1329364805610
141415d729a00
159ade4c7492
hex571457c420

374003450912 has 288 divisors, whose sum is σ = 960471095472. Its totient is φ = 141965623296.

The previous prime is 374003450903. The next prime is 374003450921. The reversal of 374003450912 is 219054300473.

It is an interprime number because it is at equal distance from previous prime (374003450903) and next prime (374003450921).

It can be written as a sum of positive squares in 8 ways, for example, as 127189236496 + 246814214416 = 356636^2 + 496804^2 .

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, 55053788 + ... + 55060580.

Almost surely, 2374003450912 is an apocalyptic number.

374003450912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374003450912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480235547736).

374003450912 is an abundant number, since it is smaller than the sum of its proper divisors (586467644560).

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

374003450912 is a wasteful number, since it uses less digits than its factorization.

374003450912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 374003450912 in words is "three hundred seventy-four billion, three million, four hundred fifty thousand, nine hundred twelve".