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354420420 = 223517477393
BaseRepresentation
bin10101001000000…
…000011011000100
3220200220102102020
4111020000123010
51211212423140
655100243140
711532344454
oct2510003304
9820812366
10354420420
11172074342
129a8404b0
1358573233
14350dbd64
15211ad6d0
hex152006c4

354420420 has 96 divisors (see below), whose sum is σ = 1073253888. Its totient is φ = 87048192.

The previous prime is 354420389. The next prime is 354420421. The reversal of 354420420 is 24024453.

It is a super-2 number, since 2×3544204202 = 251227668225952800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (354420421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44244 + ... + 51636.

It is an arithmetic number, because the mean of its divisors is an integer number (11179728).

Almost surely, 2354420420 is an apocalyptic number.

354420420 is a gapful number since it is divisible by the number (30) 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 354420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536626944).

354420420 is an abundant number, since it is smaller than the sum of its proper divisors (718833468).

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

354420420 is a wasteful number, since it uses less digits than its factorization.

354420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 354420420 is about 18826.0569424402. The cubic root of 354420420 is about 707.6843289355.

Adding to 354420420 its reverse (24024453), we get a palindrome (378444873).

The spelling of 354420420 in words is "three hundred fifty-four million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3196 3995 4794 7393 7990 9588 11985 14786 15980 22179 23970 29572 36965 44358 47940 73930 88716 110895 125681 147860 221790 251362 347471 377043 443580 502724 628405 694942 754086 1042413 1256810 1389884 1508172 1737355 1885215 2084826 2513620 3474710 3770430 4169652 5212065 5907007 6949420 7540860 10424130 11814014 17721021 20848260 23628028 29535035 35442042 59070070 70884084 88605105 118140140 177210210 354420420