Search a number
-
+
740332416 = 27319293499
BaseRepresentation
bin101100001000001…
…001001110000000
31220121001210011010
4230020021032000
53004011114131
6201243520520
724226502355
oct5410111600
91817053133
10740332416
1134a99777a
12187b29140
13ba4c1325
147047662c
1544edcb46
hex2c209380

740332416 has 128 divisors (see below), whose sum is σ = 2142000000. Its totient is φ = 225662976.

The previous prime is 740332343. The next prime is 740332423. The reversal of 740332416 is 614233047.

It is a tau number, because it is divible by the number of its divisors (128).

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, 209835 + ... + 213333.

It is an arithmetic number, because the mean of its divisors is an integer number (16734375).

Almost surely, 2740332416 is an apocalyptic number.

740332416 is a gapful number since it is divisible by the number (76) 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 740332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071000000).

740332416 is an abundant number, since it is smaller than the sum of its proper divisors (1401667584).

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

740332416 is a wasteful number, since it uses less digits than its factorization.

740332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 740332416 is about 27209.0502590590. The cubic root of 740332416 is about 904.6395870599.

The spelling of 740332416 in words is "seven hundred forty million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 304 348 384 456 464 551 608 696 912 928 1102 1216 1392 1653 1824 1856 2204 2432 2784 3306 3499 3648 3712 4408 5568 6612 6998 7296 8816 10497 11136 13224 13996 17632 20994 26448 27992 35264 41988 52896 55984 66481 70528 83976 101471 105792 111968 132962 167952 199443 202942 211584 223936 265924 304413 335904 398886 405884 447872 531848 608826 671808 797772 811768 1063696 1217652 1343616 1595544 1623536 1927949 2127392 2435304 3191088 3247072 3855898 4254784 4870608 5783847 6382176 6494144 7711796 8509568 9741216 11567694 12764352 12988288 15423592 19482432 23135388 25528704 30847184 38964864 46270776 61694368 92541552 123388736 185083104 246777472 370166208 740332416