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354421440 = 263351719127
BaseRepresentation
bin10101001000000…
…000101011000000
3220200220110211000
4111020000223000
51211212441230
655100252000
711532350442
oct2510005300
9820813730
10354421440
1117207508a
129a841000
1358573839
14350dc492
15211adb60
hex15200ac0

354421440 has 448 divisors, whose sum is σ = 1404518400. Its totient is φ = 83607552.

The previous prime is 354421439. The next prime is 354421451. The reversal of 354421440 is 44124453.

It is a happy number.

It is a super-2 number, since 2×3544214402 = 251229114263347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790657 + ... + 2790783.

Almost surely, 2354421440 is an apocalyptic number.

354421440 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 354421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259200).

354421440 is an abundant number, since it is smaller than the sum of its proper divisors (1050096960).

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

354421440 is a wasteful number, since it uses less digits than its factorization.

354421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 354421440 is about 18826.0840325332. The cubic root of 354421440 is about 707.6850078254.

Adding to 354421440 its reverse (44124453), we get a palindrome (398545893).

The spelling of 354421440 in words is "three hundred fifty-four million, four hundred twenty-one thousand, four hundred forty".