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378434264 = 23132416827
BaseRepresentation
bin10110100011100…
…111001011011000
3222101002110012212
4112203213023120
51233334344024
6101315054252
712243431615
oct2643471330
9871073185
10378434264
1118468629a
12a68a1388
1360530600
143838d50c
1523353a0e
hex168e72d8

378434264 has 48 divisors (see below), whose sum is σ = 787200120. Its totient is φ = 170376960.

The previous prime is 378434239. The next prime is 378434269. The reversal of 378434264 is 462434873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378434269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52019 + ... + 58845.

Almost surely, 2378434264 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 378434264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393600060).

378434264 is an abundant number, since it is smaller than the sum of its proper divisors (408765856).

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

378434264 is a wasteful number, since it uses less digits than its factorization.

378434264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6883 counting only the distinct ones).

The product of its digits is 387072, while the sum is 41.

The square root of 378434264 is about 19453.3869544612. The cubic root of 378434264 is about 723.3194616512.

The spelling of 378434264 in words is "three hundred seventy-eight million, four hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 169 328 338 533 676 1066 1352 2132 4264 6827 6929 13654 13858 27308 27716 54616 55432 88751 177502 279907 355004 559814 710008 1119628 1153763 2239256 2307526 3638791 4615052 7277582 9230104 14555164 29110328 47304283 94608566 189217132 378434264