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399401688 = 233729731123
BaseRepresentation
bin10111110011100…
…110001011011000
31000211112201010010
4113303212023120
51304221323223
6103344321520
712616600260
oct2763461330
91024481103
10399401688
111954a7444
12b19132a0
136499217a
143b08a7a0
15250e6393
hex17ce62d8

399401688 has 128 divisors (see below), whose sum is σ = 1197734400. Its totient is φ = 108573696.

The previous prime is 399401687. The next prime is 399401699. The reversal of 399401688 is 886104993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399401687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355095 + ... + 356217.

It is an arithmetic number, because the mean of its divisors is an integer number (9357300).

Almost surely, 2399401688 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 399401688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598867200).

399401688 is an abundant number, since it is smaller than the sum of its proper divisors (798332712).

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

399401688 is a wasteful number, since it uses less digits than its factorization.

399401688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 399401688 is about 19985.0366024183. The cubic root of 399401688 is about 736.4387497001.

The spelling of 399401688 in words is "three hundred ninety-nine million, four hundred one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 73 84 87 116 146 168 174 203 219 232 292 348 406 438 511 584 609 696 812 876 1022 1123 1218 1533 1624 1752 2044 2117 2246 2436 3066 3369 4088 4234 4492 4872 6132 6351 6738 7861 8468 8984 12264 12702 13476 14819 15722 16936 23583 25404 26952 29638 31444 32567 44457 47166 50808 59276 62888 65134 81979 88914 94332 97701 118552 130268 163958 177828 188664 195402 227969 245937 260536 327916 355656 390804 455938 491874 573853 655832 683907 781608 911876 983748 1147706 1367814 1721559 1823752 1967496 2295412 2377391 2735628 3443118 4590824 4754782 5471256 6886236 7132173 9509564 13772472 14264346 16641737 19019128 28528692 33283474 49925211 57057384 66566948 99850422 133133896 199700844 399401688