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345001944 = 233721717257
BaseRepresentation
bin10100100100000…
…100111111011000
3220001011220200210
4110210010333120
51201310030234
654122331120
711356316400
oct2444047730
9801156623
10345001944
11167821081
1297659aa0
1356626281
1433b69800
152044cbe9
hex14904fd8

345001944 has 96 divisors (see below), whose sum is σ = 1062402480. Its totient is φ = 92768256.

The previous prime is 345001913. The next prime is 345001957. The reversal of 345001944 is 449100543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11364 + ... + 28620.

Almost surely, 2345001944 is an apocalyptic number.

345001944 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 345001944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531201240).

345001944 is an abundant number, since it is smaller than the sum of its proper divisors (717400536).

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

345001944 is a wasteful number, since it uses less digits than its factorization.

345001944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17297 (or 17286 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 345001944 is about 18574.2279516539. The cubic root of 345001944 is about 701.3592256806.

The spelling of 345001944 in words is "three hundred forty-five million, one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 17257 19992 34514 51771 69028 103542 120799 138056 207084 241598 293369 362397 414168 483196 586738 724794 845593 880107 966392 1173476 1449588 1691186 1760214 2053583 2346952 2536779 2899176 3382372 3520428 4107166 5073558 6160749 6764744 7040856 8214332 10147116 12321498 14375081 16428664 20294232 24642996 28750162 43125243 49285992 57500324 86250486 115000648 172500972 345001944