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73870434 = 23311235407
BaseRepresentation
bin1000110011100…
…10110001100010
312011000000012000
410121302301202
5122402323214
611155144430
71554613461
oct431626142
9164000160
1073870434
1138774a50
12208a5116
13123c5421
149b4c9d8
156742809
hex4672c62

73870434 has 64 divisors (see below), whose sum is σ = 186900480. Its totient is φ = 21407760.

The previous prime is 73870429. The next prime is 73870441. The reversal of 73870434 is 43407837.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10959 + ... + 16365.

It is an arithmetic number, because the mean of its divisors is an integer number (2920320).

Almost surely, 273870434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73870434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93450240).

73870434 is an abundant number, since it is smaller than the sum of its proper divisors (113030046).

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

73870434 is a wasteful number, since it uses less digits than its factorization.

73870434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 73870434 is about 8594.7910969377. The cubic root of 73870434 is about 419.5884744606.

The spelling of 73870434 in words is "seventy-three million, eight hundred seventy thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 5407 6831 10814 13662 16221 32442 48663 59477 97326 118954 124361 145989 178431 248722 291978 356862 373083 535293 746166 1070586 1119249 1367971 1605879 2238498 2735942 3211758 3357747 4103913 6715494 8207826 12311739 24623478 36935217 73870434