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399000744 = 2332171811801
BaseRepresentation
bin10111110010000…
…100010010101000
31000210210100010100
4113302010102220
51304121010434
6103331545400
712613310322
oct2762042250
91023710110
10399000744
1119525318a
12b175b260
136488181c
143adc4612
1525067699
hex17c844a8

399000744 has 96 divisors (see below), whose sum is σ = 1151153640. Its totient is φ = 124416000.

The previous prime is 399000737. The next prime is 399000769. The reversal of 399000744 is 447000993.

It can be written as a sum of positive squares in 4 ways, for example, as 196280100 + 202720644 = 14010^2 + 14238^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 399000699 and 399000708.

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, 220644 + ... + 222444.

Almost surely, 2399000744 is an apocalyptic number.

399000744 is a gapful number since it is divisible by the number (34) 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 399000744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575576820).

399000744 is an abundant number, since it is smaller than the sum of its proper divisors (752152896).

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

399000744 is a wasteful number, since it uses less digits than its factorization.

399000744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 399000744 is about 19975.0029787232. The cubic root of 399000744 is about 736.1922396780.

The spelling of 399000744 in words is "three hundred ninety-nine million, seven hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 181 204 306 362 408 543 612 724 1086 1224 1448 1629 1801 2172 3077 3258 3602 4344 5403 6154 6516 7204 9231 10806 12308 13032 14408 16209 18462 21612 24616 27693 30617 32418 36924 43224 55386 61234 64836 73848 91851 110772 122468 129672 183702 221544 244936 275553 325981 367404 551106 651962 734808 977943 1102212 1303924 1955886 2204424 2607848 2933829 3911772 5541677 5867658 7823544 11083354 11735316 16625031 22166708 23470632 33250062 44333416 49875093 66500124 99750186 133000248 199500372 399000744