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332423420 = 22575371631
BaseRepresentation
bin10011110100000…
…110000011111100
3212011111212012112
4103310012003330
51140100022140
652552553152
711144360330
oct2364060374
9764455175
10332423420
1116070a6aa
12933b27b8
1353b40b64
14322137c0
151e2b5c65
hex13d060fc

332423420 has 96 divisors (see below), whose sum is σ = 825624576. Its totient is φ = 110073600.

The previous prime is 332423417. The next prime is 332423453. The reversal of 332423420 is 24324233.

It is a super-2 number, since 2×3324234202 = 221010660328992800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526505 + ... + 527135.

It is an arithmetic number, because the mean of its divisors is an integer number (8600256).

Almost surely, 2332423420 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 332423420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412812288).

332423420 is an abundant number, since it is smaller than the sum of its proper divisors (493201156).

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

332423420 is a wasteful number, since it uses less digits than its factorization.

332423420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 332423420 is about 18232.4825517536. The cubic root of 332423420 is about 692.7298007470.

Adding to 332423420 its reverse (24324233), we get a palindrome (356747653).

The spelling of 332423420 in words is "three hundred thirty-two million, four hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 71 106 140 142 212 265 284 355 371 497 530 631 710 742 994 1060 1262 1420 1484 1855 1988 2485 2524 3155 3710 3763 4417 4970 6310 7420 7526 8834 9940 12620 15052 17668 18815 22085 26341 33443 37630 44170 44801 52682 66886 75260 88340 89602 105364 131705 133772 167215 179204 224005 234101 263410 313607 334430 448010 468202 526820 627214 668860 896020 936404 1170505 1254428 1568035 2341010 2374453 3136070 4682020 4748906 6272140 9497812 11872265 16621171 23744530 33242342 47489060 66484684 83105855 166211710 332423420