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2930273424 = 24321323472
BaseRepresentation
bin1010111010101000…
…0110110010010000
321120012211022110100
42232222012302100
522000122222144
61202433532400
7132420625131
oct25652066220
97505738410
102930273424
111274076881
12699414100
13379110300
141db255c88
151223be269
hexaea86c90

2930273424 has 135 divisors (see below), whose sum is σ = 8905707993. Its totient is φ = 899024256.

The previous prime is 2930273387. The next prime is 2930273429. The reversal of 2930273424 is 4243720392.

It is a happy number.

The square root of 2930273424 is 54132.

It is a perfect power (a square), and thus also a powerful number.

2930273424 is a `hidden beast` number, since 2 + 9 + 302 + 7 + 342 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 433472400 + 2496801024 = 20820^2 + 49968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2930273429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8444419 + ... + 8444765.

Almost surely, 22930273424 is an apocalyptic number.

2930273424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2930273424 is the 54132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930273424

2930273424 is an abundant number, since it is smaller than the sum of its proper divisors (5975434569).

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

2930273424 is a wasteful number, since it uses less digits than its factorization.

2930273424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The cubic root of 2930273424 is about 1430.9881874888.

Multiplying 2930273424 by its sum of digits (36), we get a square (105489843264 = 3247922).

2930273424 divided by its sum of digits (36) gives a square (81396484 = 90222).

The spelling of 2930273424 in words is "two billion, nine hundred thirty million, two hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 347 468 507 624 676 694 936 1014 1041 1352 1388 1521 1872 2028 2082 2704 2776 3042 3123 4056 4164 4511 5552 6084 6246 8112 8328 9022 12168 12492 13533 16656 18044 24336 24984 27066 36088 40599 49968 54132 58643 72176 81198 108264 117286 120409 162396 175929 216528 234572 240818 324792 351858 361227 469144 481636 527787 649584 703716 722454 938288 963272 1055574 1083681 1407432 1444908 1565317 1926544 2111148 2167362 2814864 2889816 3130634 4222296 4334724 4695951 5779632 6261268 8444592 8669448 9391902 12522536 14087853 17338896 18783804 20349121 25045072 28175706 37567608 40698242 56351412 61047363 75135216 81396484 112702824 122094726 162792968 183142089 225405648 244189452 325585936 366284178 488378904 732568356 976757808 1465136712 2930273424