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74114730 = 23351767241
BaseRepresentation
bin1000110101011…
…10011010101010
312011110102022000
410122232122222
5122433132410
611204311430
71556651634
oct432563252
9164412260
1074114730
1138921548
12209a2576
131247c691
149bb3a54
15678edc0
hex46ae6aa

74114730 has 128 divisors (see below), whose sum is σ = 213269760. Its totient is φ = 18247680.

The previous prime is 74114701. The next prime is 74114753. The reversal of 74114730 is 3741147.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 74114694 and 74114703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307410 + ... + 307650.

It is an arithmetic number, because the mean of its divisors is an integer number (1666170).

Almost surely, 274114730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74114730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106634880).

74114730 is an abundant number, since it is smaller than the sum of its proper divisors (139155030).

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

74114730 is a wasteful number, since it uses less digits than its factorization.

74114730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 74114730 is about 8608.9912301036. The cubic root of 74114730 is about 420.0505041308.

Adding to 74114730 its reverse (3741147), we get a palindrome (77855877).

The spelling of 74114730 in words is "seventy-four million, one hundred fourteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 67 85 90 102 134 135 153 170 201 241 255 270 306 335 402 459 482 510 603 670 723 765 918 1005 1139 1205 1206 1446 1530 1809 2010 2169 2278 2295 2410 3015 3417 3615 3618 4097 4338 4590 5695 6030 6507 6834 7230 8194 9045 10251 10845 11390 12291 13014 16147 17085 18090 20485 20502 21690 24582 30753 32294 32535 34170 36873 40970 48441 51255 61455 61506 65070 73746 80735 96882 102510 110619 122910 145323 153765 161470 184365 221238 242205 274499 290646 307530 368730 435969 484410 548998 553095 726615 823497 871938 1106190 1372495 1453230 1646994 2179845 2470491 2744990 4117485 4359690 4940982 7411473 8234970 12352455 14822946 24704910 37057365 74114730