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642434352 = 243717472393
BaseRepresentation
bin100110010010101…
…100010100110000
31122202212001020220
4212102230110300
52303430344402
6143425333040
721630413310
oct4622542460
91582761226
10642434352
112aa70148a
1215b197180
13a3135491
1461471440
153b600dbc
hex264ac530

642434352 has 160 divisors (see below), whose sum is σ = 2051868672. Its totient is φ = 169009152.

The previous prime is 642434347. The next prime is 642434363. The reversal of 642434352 is 253434246.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267268 + ... + 269660.

Almost surely, 2642434352 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 642434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025934336).

642434352 is an abundant number, since it is smaller than the sum of its proper divisors (1409434320).

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

642434352 is a wasteful number, since it uses less digits than its factorization.

642434352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2469 counting only the distinct ones).

The product of its digits is 69120, while the sum is 33.

The square root of 642434352 is about 25346.2887224146. The cubic root of 642434352 is about 862.8651295048.

Adding to 642434352 its reverse (253434246), we get a palindrome (895868598).

The spelling of 642434352 in words is "six hundred forty-two million, four hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 47 48 51 56 68 84 94 102 112 119 136 141 168 188 204 238 272 282 329 336 357 376 408 476 564 658 714 752 799 816 952 987 1128 1316 1428 1598 1904 1974 2256 2393 2397 2632 2856 3196 3948 4786 4794 5264 5593 5712 6392 7179 7896 9572 9588 11186 12784 14358 15792 16751 16779 19144 19176 22372 28716 33502 33558 38288 38352 40681 44744 50253 57432 67004 67116 81362 89488 100506 112471 114864 122043 134008 134232 162724 201012 224942 244086 268016 268464 284767 325448 337413 402024 449884 488172 569534 650896 674826 787297 804048 854301 899768 976344 1139068 1349652 1574594 1708602 1799536 1912007 1952688 2278136 2361891 2699304 3149188 3417204 3824014 4556272 4723782 5398608 5736021 6298376 6834408 7648028 9447564 11472042 12596752 13384049 13668816 15296056 18895128 22944084 26768098 30592112 37790256 40152147 45888168 53536196 80304294 91776336 107072392 160608588 214144784 321217176 642434352