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61304320 = 295711311
BaseRepresentation
bin1110100111011…
…0111000000000
311021100120201101
43221312320000
5111143214240
610025544144
71343035540
oct351667000
9137316641
1061304320
1131671930
1218645054
13c91585c
1481db320
1555ae39a
hex3a76e00

61304320 has 160 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 19046400.

The previous prime is 61304303. The next prime is 61304333. The reversal of 61304320 is 2340316.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196965 + ... + 197275.

Almost surely, 261304320 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 61304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

61304320 is an abundant number, since it is smaller than the sum of its proper divisors (122541056).

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

61304320 is a wasteful number, since it uses less digits than its factorization.

61304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 61304320 is about 7829.7075296591. The cubic root of 61304320 is about 394.3032528380.

Adding to 61304320 its reverse (2340316), we get a palindrome (63644636).

The spelling of 61304320 in words is "sixty-one million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 311 320 352 385 440 448 512 560 616 622 640 704 770 880 896 1120 1232 1244 1280 1408 1540 1555 1760 1792 2177 2240 2464 2488 2560 2816 3080 3110 3421 3520 3584 4354 4480 4928 4976 5632 6160 6220 6842 7040 8708 8960 9856 9952 10885 12320 12440 13684 14080 17105 17416 17920 19712 19904 21770 23947 24640 24880 27368 28160 34210 34832 39424 39808 43540 47894 49280 49760 54736 68420 69664 79616 87080 95788 98560 99520 109472 119735 136840 139328 159232 174160 191576 197120 199040 218944 239470 273680 278656 348320 383152 398080 437888 478940 547360 557312 696640 766304 796160 875776 957880 1094720 1114624 1393280 1532608 1751552 1915760 2189440 2786560 3065216 3831520 4378880 5573120 6130432 7663040 8757760 12260864 15326080 30652160 61304320