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61603434 = 23219435971
BaseRepresentation
bin1110101011111…
…1111001101010
311021220210000200
43222333321222
5111232302214
610040213030
71345422564
oct352777152
9137823020
1061603434
1131856632
121876a176
13c9bba49
148278334
15561cd09
hex3abfe6a

61603434 has 96 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 18416160.

The previous prime is 61603433. The next prime is 61603441. The reversal of 61603434 is 43430616.

61603434 is a `hidden beast` number, since 616 + 0 + 3 + 43 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61603398 and 61603407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61603433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867619 + ... + 867689.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 261603434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61603434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

61603434 is an abundant number, since it is smaller than the sum of its proper divisors (86658966).

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

61603434 is a wasteful number, since it uses less digits than its factorization.

61603434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 61603434 is about 7848.7855111476. The cubic root of 61603434 is about 394.9435031091.

The spelling of 61603434 in words is "sixty-one million, six hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 43 57 59 71 86 114 118 129 142 171 177 213 258 342 354 387 426 531 639 774 817 1062 1121 1278 1349 1634 2242 2451 2537 2698 3053 3363 4047 4189 4902 5074 6106 6726 7353 7611 8094 8378 9159 10089 12141 12567 14706 15222 18318 20178 22833 24282 25134 27477 37701 45666 48203 54954 58007 75402 79591 96406 116014 144609 159182 174021 180127 238773 289218 348042 360254 433827 477546 522063 540381 716319 867654 1044126 1080762 1432638 1621143 3242286 3422413 6844826 10267239 20534478 30801717 61603434