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370049472 = 26341317219
BaseRepresentation
bin10110000011101…
…000000111000000
3221210022110110000
4112003220013000
51224213040342
6100415240000
712112240302
oct2603500700
9853273400
10370049472
1117a979711
12a3b19000
135b885cb0
1437209972
152274944c
hex160e81c0

370049472 has 420 divisors, whose sum is σ = 1320947320. Its totient is φ = 101523456.

The previous prime is 370049447. The next prime is 370049473. The reversal of 370049472 is 274940073.

It is a super-2 number, since 2×3700494722 = 273873223454957568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370049473) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19476279 + ... + 19476297.

Almost surely, 2370049472 is an apocalyptic number.

370049472 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 370049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660473660).

370049472 is an abundant number, since it is smaller than the sum of its proper divisors (950897848).

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

370049472 is a wasteful number, since it uses less digits than its factorization.

370049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 370049472 is about 19236.6699820941. The cubic root of 370049472 is about 717.9374303734.

The spelling of 370049472 in words is "three hundred seventy million, forty-nine thousand, four hundred seventy-two".