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61344528 = 2437416173
BaseRepresentation
bin1110101000000…
…0101100010000
311021102121212120
43222000230100
5111201011103
610030454240
71343264010
oct352005420
9137377776
1061344528
113169a063
1218664380
13c92ac4b
14820bc40
1555bb253
hex3a80b10

61344528 has 160 divisors (see below), whose sum is σ = 191154432. Its totient is φ = 16588800.

The previous prime is 61344509. The next prime is 61344529. The reversal of 61344528 is 82544316.

It is a super-2 number, since 2×613445282 = 7526302231085568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61344529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840300 + ... + 840372.

Almost surely, 261344528 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 61344528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95577216).

61344528 is an abundant number, since it is smaller than the sum of its proper divisors (129809904).

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

61344528 is a wasteful number, since it uses less digits than its factorization.

61344528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 61344528 is about 7832.2747653539. The cubic root of 61344528 is about 394.3894386095.

The spelling of 61344528 in words is "sixty-one million, three hundred forty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 61 73 82 84 112 122 123 146 164 168 183 219 244 246 287 292 328 336 366 427 438 488 492 511 574 584 656 732 854 861 876 976 984 1022 1148 1168 1281 1464 1533 1708 1722 1752 1968 2044 2296 2501 2562 2928 2993 3066 3416 3444 3504 4088 4453 4592 5002 5124 5986 6132 6832 6888 7503 8176 8906 8979 10004 10248 11972 12264 13359 13776 15006 17507 17812 17958 20008 20496 20951 23944 24528 26718 30012 31171 35014 35624 35916 40016 41902 47888 52521 53436 60024 62342 62853 70028 71248 71832 83804 93513 105042 106872 120048 124684 125706 140056 143664 167608 182573 187026 210084 213744 249368 251412 280112 335216 365146 374052 420168 498736 502824 547719 730292 748104 840336 1005648 1095438 1278011 1460584 1496208 2190876 2556022 2921168 3834033 4381752 5112044 7668066 8763504 10224088 15336132 20448176 30672264 61344528