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342832464 = 243213434259
BaseRepresentation
bin10100011011110…
…011010101010000
3212220002200201200
4110123303111100
51200231114324
654004031200
711332012362
oct2433632520
9786080650
10342832464
1116657a117
1296992500
1356046960
1433762d32
152016eec9
hex146f3550

342832464 has 120 divisors (see below), whose sum is σ = 1057536480. Its totient is φ = 103009536.

The previous prime is 342832433. The next prime is 342832471. The reversal of 342832464 is 464238243.

It is a super-2 number, since 2×3428324642 = 235068196744622592, which contains 22 as substring.

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

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

It is a nude number because it is divisible by every one of its digits.

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, 78367 + ... + 82625.

It is an arithmetic number, because the mean of its divisors is an integer number (8812804).

Almost surely, 2342832464 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 342832464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768240).

342832464 is an abundant number, since it is smaller than the sum of its proper divisors (714704016).

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

342832464 is a wasteful number, since it uses less digits than its factorization.

342832464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4320 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 342832464 is about 18515.7355781508. The cubic root of 342832464 is about 699.8860113710.

The spelling of 342832464 in words is "three hundred forty-two million, eight hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1677 1872 2064 2236 3096 3354 4259 4472 5031 6192 6708 8518 8944 10062 12777 13416 17036 20124 25554 26832 34072 38331 40248 51108 55367 68144 76662 80496 102216 110734 153324 166101 183137 204432 221468 306648 332202 366274 442936 498303 549411 613296 664404 732548 885872 996606 1098822 1328808 1465096 1648233 1993212 2197644 2380781 2657616 2930192 3296466 3986424 4395288 4761562 6592932 7142343 7972848 8790576 9523124 13185864 14284686 19046248 21427029 26371728 28569372 38092496 42854058 57138744 85708116 114277488 171416232 342832464