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740424816 = 243211345503
BaseRepresentation
bin101100001000011…
…111110001110000
31220121020110220100
4230020133301300
53004022043231
6201245512400
724230335635
oct5410376160
91817213810
10740424816
1134aa5013a
12187b72700
13ba5243c1
147049c18c
154500a1e6
hex2c21fc70

740424816 has 60 divisors (see below), whose sum is σ = 2090544768. Its totient is φ = 244618752.

The previous prime is 740424799. The next prime is 740424821. The reversal of 740424816 is 618424047.

740424816 is a `hidden beast` number, since 7 + 404 + 248 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6480 + ... + 39023.

Almost surely, 2740424816 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 740424816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045272384).

740424816 is an abundant number, since it is smaller than the sum of its proper divisors (1350119952).

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

740424816 is a wasteful number, since it uses less digits than its factorization.

740424816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45630 (or 45621 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 740424816 is about 27210.7481705300. The cubic root of 740424816 is about 904.6772211545.

The spelling of 740424816 in words is "seven hundred forty million, four hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 45503 91006 136509 182012 273018 364024 409527 546036 728048 819054 1092072 1638108 2184144 3276216 5141839 6552432 10283678 15425517 20567356 30851034 41134712 46276551 61702068 82269424 92553102 123404136 185106204 246808272 370212408 740424816