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321418044 = 22353110667
BaseRepresentation
bin10011001010000…
…111001100111100
3211101210201200000
4103022013030330
51124240334134
651521034300
710652002563
oct2312071474
9741721600
10321418044
11155483152
128b785990
13517897bc
143098abda
151d33ee99
hex1328733c

321418044 has 72 divisors (see below), whose sum is σ = 869826048. Its totient is φ = 103673520.

The previous prime is 321418037. The next prime is 321418061. The reversal of 321418044 is 440814123.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 321417999 and 321418017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24799 + ... + 35465.

Almost surely, 2321418044 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 321418044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434913024).

321418044 is an abundant number, since it is smaller than the sum of its proper divisors (548408004).

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

321418044 is a wasteful number, since it uses less digits than its factorization.

321418044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717 (or 10703 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 321418044 is about 17928.1355416563. The cubic root of 321418044 is about 684.9992320662. Note that the first 3 decimals are identical.

The spelling of 321418044 in words is "three hundred twenty-one million, four hundred eighteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 7533 10044 10667 15066 21334 30132 32001 42668 64002 96003 128004 192006 288009 330677 384012 576018 661354 864027 992031 1152036 1322708 1728054 1984062 2592081 2976093 3456108 3968124 5184162 5952186 8928279 10368324 11904372 17856558 26784837 35713116 53569674 80354511 107139348 160709022 321418044