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424348452 = 2232112611597
BaseRepresentation
bin11001010010110…
…000101100100100
31002120111010122100
4121102300230210
51332113122302
6110035132100
713341621333
oct3122605444
91076433570
10424348452
111a8596300
12ba144030
1369bb8078
1440501d1a
15273c2d1c
hex194b0b24

424348452 has 108 divisors (see below), whose sum is σ = 1199116828. Its totient is φ = 126403200.

The previous prime is 424348439. The next prime is 424348481. The reversal of 424348452 is 254843424.

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 381655296 = 6534^2 + 19536^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264918 + ... + 266514.

Almost surely, 2424348452 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 424348452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599558414).

424348452 is an abundant number, since it is smaller than the sum of its proper divisors (774768376).

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

424348452 is a wasteful number, since it uses less digits than its factorization.

424348452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1674 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 424348452 is about 20599.7197068310. The cubic root of 424348452 is about 751.4628940661.

The spelling of 424348452 in words is "four hundred twenty-four million, three hundred forty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 121 122 132 183 198 242 244 363 366 396 484 549 671 726 732 1089 1098 1342 1452 1597 2013 2178 2196 2684 3194 4026 4356 4791 6039 6388 7381 8052 9582 12078 14373 14762 17567 19164 22143 24156 28746 29524 35134 44286 52701 57492 66429 70268 88572 97417 105402 132858 158103 193237 194834 210804 265716 292251 316206 386474 389668 579711 584502 632412 772948 876753 1071587 1159422 1169004 1739133 1753506 2143174 2318844 3214761 3478266 3507012 4286348 6429522 6956532 9644283 11787457 12859044 19288566 23574914 35362371 38577132 47149828 70724742 106087113 141449484 212174226 424348452