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141434304 = 26311167401
BaseRepresentation
bin10000110111000…
…01110111000000
3100212010121101120
420123201313000
5242201344204
622011232240
73335112624
oct1033416700
9325117346
10141434304
1172921760
123b448680
13233c014b
1414ad9184
15c63b6d9
hex86e1dc0

141434304 has 112 divisors (see below), whose sum is σ = 411699456. Its totient is φ = 42496000.

The previous prime is 141434287. The next prime is 141434317. The reversal of 141434304 is 403434141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352504 + ... + 352904.

It is an arithmetic number, because the mean of its divisors is an integer number (3675888).

Almost surely, 2141434304 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 141434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205849728).

141434304 is an abundant number, since it is smaller than the sum of its proper divisors (270265152).

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

141434304 is a wasteful number, since it uses less digits than its factorization.

141434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 141434304 is about 11892.6155239291. The cubic root of 141434304 is about 521.0166304620.

Adding to 141434304 its reverse (403434141), we get a palindrome (544868445).

The spelling of 141434304 in words is "one hundred forty-one million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 167 176 192 264 334 352 401 501 528 668 704 802 1002 1056 1203 1336 1604 1837 2004 2112 2406 2672 3208 3674 4008 4411 4812 5344 5511 6416 7348 8016 8822 9624 10688 11022 12832 13233 14696 16032 17644 19248 22044 25664 26466 29392 32064 35288 38496 44088 52932 58784 66967 70576 76992 88176 105864 117568 133934 141152 176352 200901 211728 267868 282304 352704 401802 423456 535736 736637 803604 846912 1071472 1473274 1607208 2142944 2209911 2946548 3214416 4285888 4419822 5893096 6428832 8839644 11786192 12857664 17679288 23572384 35358576 47144768 70717152 141434304