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253366704 = 24341371427
BaseRepresentation
bin11110001101000…
…01000110110000
3122122202100210000
433012201012300
51004330213304
641050310000
76164403303
oct1706410660
9578670700
10253366704
11120023178
1270a28300
1340650c36
1425914b3a
151739b939
hexf1a11b0

253366704 has 100 divisors (see below), whose sum is σ = 739187064. Its totient is φ = 83780352.

The previous prime is 253366703. The next prime is 253366717. The reversal of 253366704 is 407663352.

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

It is not an unprimeable number, because it can be changed into a prime (253366703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176839 + ... + 178265.

Almost surely, 2253366704 is an apocalyptic number.

253366704 is a gapful number since it is divisible by the number (24) 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 253366704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369593532).

253366704 is an abundant number, since it is smaller than the sum of its proper divisors (485820360).

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

253366704 is a wasteful number, since it uses less digits than its factorization.

253366704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 253366704 is about 15917.4967881260. The cubic root of 253366704 is about 632.7757791696.

The spelling of 253366704 in words is "two hundred fifty-three million, three hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 274 324 411 432 548 648 822 1096 1233 1296 1427 1644 2192 2466 2854 3288 3699 4281 4932 5708 6576 7398 8562 9864 11097 11416 12843 14796 17124 19728 22194 22832 25686 29592 34248 38529 44388 51372 59184 68496 77058 88776 102744 115587 154116 177552 195499 205488 231174 308232 390998 462348 586497 616464 781996 924696 1172994 1563992 1759491 1849392 2345988 3127984 3518982 4691976 5278473 7037964 9383952 10556946 14075928 15835419 21113892 28151856 31670838 42227784 63341676 84455568 126683352 253366704