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390340840 = 23531433727
BaseRepresentation
bin10111010001000…
…010000011101000
31000012111100222011
4113101002003220
51244411401330
6102422205304
712446561641
oct2721020350
91005440864
10390340840
1119037893a
12aa883834
1362b3bc16
1439bac6c8
152440682a
hex174420e8

390340840 has 64 divisors (see below), whose sum is σ = 909941760. Its totient is φ = 150543360.

The previous prime is 390340837. The next prime is 390340877. The reversal of 390340840 is 48043093.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536557 + ... + 537283.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2390340840 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 390340840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

390340840 is an abundant number, since it is smaller than the sum of its proper divisors (519600920).

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

390340840 is a wasteful number, since it uses less digits than its factorization.

390340840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 390340840 is about 19757.0453256554. The cubic root of 390340840 is about 730.8271352597.

The spelling of 390340840 in words is "three hundred ninety million, three hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 433 620 727 866 1240 1454 1732 2165 2908 3464 3635 4330 5816 7270 8660 13423 14540 17320 22537 26846 29080 45074 53692 67115 90148 107384 112685 134230 180296 225370 268460 314791 450740 536920 629582 901480 1259164 1573955 2518328 3147910 6295820 9758521 12591640 19517042 39034084 48792605 78068168 97585210 195170420 390340840