Search a number
-
+
30309397600 = 2552414719661
BaseRepresentation
bin11100001110100101…
…001011010001100000
32220020022110221002111
4130032211023101200
5444033201210400
621531323325104
72122044425446
oct341645132140
986208427074
1030309397600
1111943957029
125a5a680794
132b205034c1
141677586b96
15bc5d923ba
hex70e94b460

30309397600 has 144 divisors (see below), whose sum is σ = 77414170176. Its totient is φ = 11575808000.

The previous prime is 30309397583. The next prime is 30309397603. The reversal of 30309397600 is 679390303.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30309397603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531770 + ... + 1551430.

It is an arithmetic number, because the mean of its divisors is an integer number (537598404).

Almost surely, 230309397600 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 30309397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707085088).

30309397600 is an abundant number, since it is smaller than the sum of its proper divisors (47104772576).

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

30309397600 is a wasteful number, since it uses less digits than its factorization.

30309397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19769 (or 19756 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 40.

The spelling of 30309397600 in words is "thirty billion, three hundred nine million, three hundred ninety-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 47 50 80 82 94 100 160 164 188 200 205 235 328 376 400 410 470 656 752 800 820 940 1025 1175 1312 1504 1640 1880 1927 2050 2350 3280 3760 3854 4100 4700 6560 7520 7708 8200 9400 9635 15416 16400 18800 19270 19661 30832 32800 37600 38540 39322 48175 61664 77080 78644 96350 98305 154160 157288 192700 196610 308320 314576 385400 393220 491525 629152 770800 786440 806101 924067 983050 1541600 1572880 1612202 1848134 1966100 3145760 3224404 3696268 3932200 4030505 4620335 6448808 7392536 7864400 8061010 9240670 12897616 14785072 15728800 16122020 18481340 20152525 23101675 25795232 29570144 32244040 36962680 37886747 40305050 46203350 64488080 73925360 75773494 80610100 92406700 128976160 147850720 151546988 161220200 184813400 189433735 303093976 322440400 369626800 378867470 606187952 644880800 739253600 757734940 947168675 1212375904 1515469880 1894337350 3030939760 3788674700 6061879520 7577349400 15154698800 30309397600