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70351440 = 24351743401
BaseRepresentation
bin1000011000101…
…11101001010000
311220101020000220
410030113221100
5121002221230
610551513040
71512656145
oct414275120
9156336026
1070351440
1136791095
121b688780
1311762793
1494b43cc
156299d10
hex4317a50

70351440 has 160 divisors (see below), whose sum is σ = 236877696. Its totient is φ = 17203200.

The previous prime is 70351429. The next prime is 70351447. The reversal of 70351440 is 4415307.

It is a super-2 number, since 2×703514402 = 9898650220147200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70351440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70351447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175240 + ... + 175640.

Almost surely, 270351440 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 70351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118438848).

70351440 is an abundant number, since it is smaller than the sum of its proper divisors (166526256).

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

70351440 is a wasteful number, since it uses less digits than its factorization.

70351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 70351440 is about 8387.5765272217. The cubic root of 70351440 is about 412.8170858561.

Adding to 70351440 its reverse (4415307), we get a palindrome (74766747).

The spelling of 70351440 in words is "seventy million, three hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 43 48 51 60 68 80 85 86 102 120 129 136 170 172 204 215 240 255 258 272 340 344 401 408 430 510 516 645 680 688 731 802 816 860 1020 1032 1203 1290 1360 1462 1604 1720 2005 2040 2064 2193 2406 2580 2924 3208 3440 3655 4010 4080 4386 4812 5160 5848 6015 6416 6817 7310 8020 8772 9624 10320 10965 11696 12030 13634 14620 16040 17243 17544 19248 20451 21930 24060 27268 29240 32080 34085 34486 35088 40902 43860 48120 51729 54536 58480 68170 68972 81804 86215 87720 96240 102255 103458 109072 136340 137944 163608 172430 175440 204510 206916 258645 272680 275888 293131 327216 344860 409020 413832 517290 545360 586262 689720 818040 827664 879393 1034580 1172524 1379440 1465655 1636080 1758786 2069160 2345048 2931310 3517572 4138320 4396965 4690096 5862620 7035144 8793930 11725240 14070288 17587860 23450480 35175720 70351440