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343907964 = 223373181241
BaseRepresentation
bin10100011111111…
…001111001111100
3212222010100001000
4110133321321330
51201020023324
654043050300
711344112061
oct2437717174
9788110030
10343907964
11167144164
1297210990
135633234a
1433962c68
15202d39c9
hex147f9e7c

343907964 has 96 divisors (see below), whose sum is σ = 912591680. Its totient is φ = 111974400.

The previous prime is 343907957. The next prime is 343907969. The reversal of 343907964 is 469709343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343907969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426884 + ... + 1427124.

Almost surely, 2343907964 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 343907964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456295840).

343907964 is an abundant number, since it is smaller than the sum of its proper divisors (568683716).

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

343907964 is a wasteful number, since it uses less digits than its factorization.

343907964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 343907964 is about 18544.7557007365. The cubic root of 343907964 is about 700.6171183750.

The spelling of 343907964 in words is "three hundred forty-three million, nine hundred seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 181 219 241 292 362 438 482 543 657 723 724 876 964 1086 1314 1446 1629 1971 2169 2172 2628 2892 3258 3942 4338 4887 6507 6516 7884 8676 9774 13014 13213 17593 19548 26028 26426 35186 39639 43621 52779 52852 70372 79278 87242 105558 118917 130863 158337 158556 174484 211116 237834 261726 316674 356751 392589 475011 475668 523452 633348 713502 785178 950022 1177767 1427004 1570356 1900044 2355534 3184333 4711068 6368666 9552999 12737332 19105998 28658997 38211996 57317994 85976991 114635988 171953982 343907964